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Finding the Fourth Proportional to 83,209.20, 124,660.20 and 77,679.60

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Solution

The fourth proportional to 83,209.20, 124,660.20 and 77,679.60 is: 116,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.20 : 124,660.20 = 77,679.60 : x
  2. Step 2: Convert to fraction form
    83,209.20/124,660.20 = 77,679.60/x
  3. Step 3: Cross multiply
    83,209.20x = 124,660.20 × 77,679.60
  4. Step 4: Simplify right side
    83,209.20x = 9,683,554,471.92
  5. Step 5: Solve for x
    x = 9,683,554,471.92/83,209.20
  6. Step 6: Final answer
    x = 116,376.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.